Functional Calculus and Joint Torsion of Pairs of Almost Commuting Operators

被引：0

作者：

Migler, Joseph ^{[1
]}

机构：

[1] Ohio State Univ, Dept Math, 231 W 18th Ave, Columbus, OH 43210 USA

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2016年 / 85卷 / 02期

关键词：

Joint torsion; Tame symbol; Functional calculus; Toeplitz operators; Determinants in K-theory; SYMBOLS; INDEX;

D O I：

10.1007/s00020-016-2299-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper investigates the transformation of determinants of pairs of Fredholm operators with trace class commutators. We study the extent to which the functional calculus commutes, modulo operator ideals, with projections in a finitely summable Fredholm module. As an application, we extend some results of Carey and Pincus on determinants of Toeplitz operators and Tate tame symbols. Additionally, we obtain variational formulas for joint torsion.

引用

页码：167 / 190

页数：24

共 23 条

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